1406294772129 has 45 divisors (see below), whose sum is σ = 2201526191813. Its totient is φ = 865042175088.

The previous prime is 1406294772121. The next prime is 1406294772139. The reversal of 1406294772129 is 9212774926041.

The square root of 1406294772129 is 1185873.

It is a perfect power (a square), and thus also a powerful number.

1406294772129 is a `hidden beast` number, since 1 + 4 + 0 + 629 + 4 + 7 + 7 + 2 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 697263410529 + 709031361600 = 835023^2 + 842040^2 .

It is not a de Polignac number, because 1406294772129 - 2³ = 1406294772121 is a prime.

It is a super-2 number, since 2×1406294772129² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1406294772121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 601236442 + ... + 601238780.

Almost surely, 2^{1406294772129} is an apocalyptic number.

1406294772129 is the 1185873-rd square number.

1406294772129 is the 592937-th centered octagonal number.

It is an amenable number.

1406294772129 is a deficient number, since it is larger than the sum of its proper divisors (795231419684).

1406294772129 is an frugal number, since it uses more digits than its factorization.

1406294772129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1406294772129 in words is "one trillion, four hundred six billion, two hundred ninety-four million, seven hundred seventy-two thousand, one hundred twenty-nine".